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On a characterization of symmetric balanced incomplete block designs

R.N. Mohan, Sanpei Kageyama, M.M. Nair (2004)

Discussiones Mathematicae Probability and Statistics

All the symmetric balanced incomplete block (SBIB) designs have been characterized and a new generalized expression on parameters of SBIB designs has been obtained. The parameter b has been formulated in a different way which is denoted by bi, i = 1, 2, 3, associating with the types of the SBIB design Di. The parameters of all the designs obtained through this representation have been tabulated while corresponding them with the suitable formulae for the number ofblocks bi and the expression Si for...

On optimality of the orthogonal block design

Ewa Synówka-Bejenka, Stefan Zontek (2012)

Discussiones Mathematicae Probability and Statistics

In the paper a usual block design with treatment effects fixed and block effects random is considered. To compare experimental design the asymptotic covariance matrix of a robust estimator proposed by Bednarski and Zontek (1996) for simultaneous estimation of shift and scale parameters is used. Asymptotically A- and D- optimal block designs in the class of designs with bounded block sizes are characterized.

On the optimal continuous experimental design problem

Christos P. Kitsos (2011)

Discussiones Mathematicae Probability and Statistics

The target of this paper is to provide a compact review of the Optimal Experimental Design, the continuous case. Therefore we are referring to the general nonlinear problem in comparison to the linear one.

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